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Incompressible Bipolar and Non-Newtonian Viscous Fluid Flow - 9783319345536

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Item specifics

Condition
Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See all condition definitionsopens in a new window or tab
Book Title
Incompressible Bipolar and Non-Newtonian Viscous Fluid Flow
ISBN
9783319345536
Publication Year
2016
Type
Textbook
Format
Paperback
Language
English
Publication Name
Incompressible Bipolar and Non-Newtonian Viscous Fluid Flow
Item Height
235mm
Author
Frederick Bloom, Hamid Bellout
Publisher
Birkhauser Verlag A&G
Item Width
155mm
Subject
Mechanics, Mathematics, Physics
Item Weight
8832g
Number of Pages
569 Pages

About this product

Product Information

The theory of incompressible multipolar viscous fluids is a non-Newtonian model of fluid flow, which incorporates nonlinear viscosity, as well as higher order velocity gradients, and is based on scientific first principles. The Navier-Stokes model of fluid flow is based on the Stokes hypothesis, which a priori simplifies and restricts the relationship between the stress tensor and the velocity. By relaxing the constraints of the Stokes hypothesis, the mathematical theory of multipolar viscous fluids generalizes the standard Navier-Stokes model. The rigorous theory of multipolar viscous fluids is compatible with all known thermodynamical processes and the principle of material frame indifference; this is in contrast with the formulation of most non-Newtonian fluid flow models which result from ad hoc assumptions about the relation between the stress tensor and the velocity. The higher-order boundary conditions, which must be formulated for multipolar viscous flow problems, are a rigorous consequence of the principle of virtual work; this is in stark contrast to the approach employed by authors who have studied the regularizing effects of adding artificial viscosity, in the form of higher order spatial derivatives, to the Navier-Stokes model. A number of research groups, primarily in the United States, Germany, Eastern Europe, and China, have explored the consequences of multipolar viscous fluid models; these efforts, and those of the authors, which are described in this book, have focused on the solution of problems in the context of specific geometries, on the existence of weak and classical solutions, and on dynamical systems aspects of the theory. This volume will be a valuable resource for mathematicians interested in solutions to systems of nonlinear partial differential equations, as well as to applied mathematicians, fluid dynamicists, and mechanical engineers with an interest in the problems of fluid mechanics.

Product Identifiers

Publisher
Birkhauser Verlag A&G
ISBN-13
9783319345536
eBay Product ID (ePID)
225787359

Product Key Features

Author
Frederick Bloom, Hamid Bellout
Publication Name
Incompressible Bipolar and Non-Newtonian Viscous Fluid Flow
Format
Paperback
Language
English
Subject
Mechanics, Mathematics, Physics
Publication Year
2016
Type
Textbook
Number of Pages
569 Pages

Dimensions

Item Height
235mm
Item Width
155mm
Item Weight
8832g

Additional Product Features

Title_Author
Frederick Bloom, Hamid Bellout
Series Title
Advances in Mathematical Fluid Mechanics
Country/Region of Manufacture
Switzerland

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